Respuesta :

Luv2Teach

Answer:

y = 2

Step-by-step explanation:

I am assuming there was some info that got left out of this that states somewhere along the line that this is right triangle inscribed in a circle or something like that.  That means that angle R is a right angle.  Therefore,

53y - 16 = 90 so

53y = 106 and

y = 2

varshamittal029

The value of y is 2.

What is the value of inscribed angle in a semi circle?

Using the Inscribed angle theorem, in a semi-circle, the inscribed arc measures 180° for which inscribed angle in semi-circle will be half of 180° i.e. the inscribed angle in semi-circle will be right-angle i.e. 90°.

Here As PQ crosses the center of the circle M. so PQ ia the diameter.

the measure of the arc PRQ is 180°.

then using inscribed angle theorem, ∠PRQ will be half of 180°.

So, ∠PRQ =90°

Given, ∠PRQ= 53y-16°

⇒90°=53y-16°

⇒53y=90°+16°=116°

⇒y=116°/53°

⇒y=2

Therefore the value of y is 2.

Learn more about inscribed angle in semicircle

here: https://brainly.com/question/8156314

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